In a paper bag, 7 of the 15 marbles are yellow. In a cloth bag, 2 of the 15 marbles are yellow. If Tim randomly draws one marble
1 answer:
Answer :
×
=
Step-by-step explanation:
P() = choosing yellow marble from paper bag =
=
P() = choosing yellow marble from cloth bag =
=
∵ Resultant outcome is dependent upon both the events and both events are independent from each other, so we can apply intersection rule [ P(A∩B)=P(A)×P(B) ] here
∴ Probability ( Both marbles are yellow) = P() × P(
) =
×
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Each point is then equal distance from the center, that distance being the radius of the circle.
Using the distance formula, we can find the center of the circle (x,y):
Plugging in points A and B into distance formula, then setting them equal to each other gives:
Right away we can cancel out the x terms leaving:
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Here we can cancel the y-terms.
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Therefore the center of the circle is the point (6,3)